125734307328 has 180 divisors, whose sum is σ = 422123824980. Its totient is φ = 35924023296.

The previous prime is 125734307317. The next prime is 125734307341. The reversal of 125734307328 is 823703437521.

It is a happy number.

125734307328 is a `hidden beast` number, since 1 + 2 + 573 + 4 + 3 + 0 + 73 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52638 + ... + 504221.

It is an arithmetic number, because the mean of its divisors is an integer number (2345132361).

Almost surely, 2^125734307328 is an apocalyptic number.

125734307328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125734307328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211061912490).

125734307328 is an abundant number, since it is smaller than the sum of its proper divisors (296389517652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

125734307328 is an equidigital number, since it uses as much as digits as its factorization.

125734307328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556897 (or 556871 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 125734307328 in words is "one hundred twenty-five billion, seven hundred thirty-four million, three hundred seven thousand, three hundred twenty-eight".